misstiger2058 misstiger2058
  • 03-01-2018
  • Mathematics
contestada

how would the expression x^3+8 be written using the sum of cubes

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Willchemistry
Willchemistry Willchemistry
  • 03-01-2018
Hey there!:

x³ + 8 :

Apply  sum of cubes rule :

x³ + y³ = ( x + y )( x² - 2x + 4 ) =

x³ + 8 =  ( x + 2 )( x² - 2x + 2² )  = 

refine :

x³ + 8 =  ( x + 2 )( x² - 2x + 4 )

hope this helps!


 
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